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Finding the Third Proportional to 82,267.88 and 174,916.13

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Solution

The third proportional to 82,267.88 and 174,916.13 is: 371,902.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,267.88 : 174,916.13 = 174,916.13 : x
  2. Step 2: Convert to fraction form
    82,267.88/174,916.13 = 174,916.13/x
  3. Step 3: Cross multiply
    82,267.88x = 174,916.13 × 174,916.13
  4. Step 4: Simplify right side
    82,267.88x = 30,595,650,785.02
  5. Step 5: Solve for x
    x = 30,595,650,785.02/82,267.88
  6. Step 6: Final answer
    x = 371,902.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.